11102112010101 has 32 divisors (see below), whose sum is σ = 17132068556800. Its totient is φ = 6263606232000.

The previous prime is 11102112010049. The next prime is 11102112010109. The reversal of 11102112010101 is 10101021120111.

It is not a de Polignac number, because 11102112010101 - 2¹⁰ = 11102112009077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102112010109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133094715 + ... + 133178103.

It is an arithmetic number, because the mean of its divisors is an integer number (535377142400).

Almost surely, 2^{11102112010101} is an apocalyptic number.

It is an amenable number.

11102112010101 is a deficient number, since it is larger than the sum of its proper divisors (6029956546699).

11102112010101 is an equidigital number, since it uses as much as digits as its factorization.

11102112010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163729.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11102112010101 its reverse (10101021120111), we get a palindrome (21203133130212).

The spelling of 11102112010101 in words is "eleven trillion, one hundred two billion, one hundred twelve million, ten thousand, one hundred one".